Tan 97 Degrees

Sin, Cos, Tan, Cot of an Angle
Function
Angle (°)

What is tan 97°?

Answer

tan 97° ≈
−8.1443

Angle in radians: 97° = 97π/180. The point of the angle is in quadrant II, where tangent is negative.

≈ — rounded to 4 decimal places. tan 97° can't be written with square roots: 97° is not a multiple of 3°.

tan 97° = tan(180° − 83°) = −tan 83° ≈ −8.1443

tan 97° = sin 97° / cos 97° ≈ −8.1443

xyOP

P(cos 97°, sin 97°) ≈ (−0.1219, 0.9925)

T(1, tan 97°) ≈ (1, −8.1443) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed); T is beyond the drawing, the arrow points to it.

All four functions of 97°
FunctionExact valueDecimal
sin 97°—≈ 0.9925
cos 97°—≈ −0.1219
tan 97°—≈ −8.1443
cot 97°—≈ −0.1228

Reference angle: tan 83° ≈ 8.1443

See Also

FAQ

What is tan 97°?

tan 97° ≈ −8.1443

Why does tan 97° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 97° is not, so no such exact form exists; the value is used as a decimal: tan 97° ≈ −8.1443.

Why does a calculator show −0.4103 for tan 97?

The calculator is in radian mode (RAD): it takes tan 97 as the tangent of 97 radians, tan 97 rad ≈ −0.4103. Switch it to degrees (DEG): tan 97° ≈ −8.1443. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.